On some convexity properties of Orlicz spaces of vector valued functions.
Henryk Hudzik (1989)
Revista Matemática de la Universidad Complutense de Madrid
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Henryk Hudzik (1989)
Revista Matemática de la Universidad Complutense de Madrid
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Yunan Cui, Yunfeng Zhang (1997)
Collectanea Mathematica
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In this paper, we obtain criteria for KR and WKR points in Orlicz function spaces equipped with the Luxemburg norm.
Tao Zhang (2003)
Annales Polonici Mathematici
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Estimation of the Jung constants of Orlicz sequence spaces equipped with either the Luxemburg norm or the Orlicz norm is given. The exact values of the Jung constants of a class of reflexive Orlicz sequence spaces are found by using new quantitative indices for 𝓝-functions.
Grzegorz Lewicki (1997)
Collectanea Mathematica
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In this note we present an affirmative answer to the problem posed by M. Baronti and C. Franchetti (oral communication) concerning a characterization of Lp-spaces among Orlicz sequence spaces. In fact, we show a more general characterization of Orlicz spaces isometric to Lp-spaces.
Kuldip Raj, Sunil K. Sharma (2012)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this paper we introduce a new sequence space defined by a sequence of Orlicz functions and study some topological properties of this sequence space.
Ting Fu Wang, Zhong Rui Shi, Quan Di Wang (1993)
Collectanea Mathematica
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For Orlicz spaces with Orlicz norm, a criterion of W*UR point is given, and previous results about UR points and WUR points are amended.
Ha Huy Bang, Nguyen Van Hoang, Vu Nhat Huy (2011)
Bulletin of the Polish Academy of Sciences. Mathematics
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We investigate best constants for inequalities between the Orlicz norm and Luxemburg norm in Orlicz spaces.
Zhongrui Shi, Tingfu Wang (1996)
Collectanea Mathematica
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We give a criterion of smoothness of Orlicz sequence spaces with Orlicz norm.
Hudzik, H. (1981)
Portugaliae mathematica
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